ProShares Ultra Dow30 (DDM)

TotalReturn:

'Total return is the amount of value an investor earns from a security over a specific period, typically one year, when all distributions are reinvested. Total return is expressed as a percentage of the amount invested. For example, a total return of 20% means the security increased by 20% of its original value due to a price increase, distribution of dividends (if a stock), coupons (if a bond) or capital gains (if a fund). Total return is a strong measure of an investment’s overall performance.'

• The total return, or performance over 5 years of ProShares Ultra Dow30 is 87%, which is larger, thus better compared to the benchmark SPY (86.3%) in the same period.
• Looking at total return in of 100% in the period of the last 3 years, we see it is relatively larger, thus better in comparison to SPY (79.8%).

CAGR:

'Compound annual growth rate (CAGR) is a business and investing specific term for the geometric progression ratio that provides a constant rate of return over the time period. CAGR is not an accounting term, but it is often used to describe some element of the business, for example revenue, units delivered, registered users, etc. CAGR dampens the effect of volatility of periodic returns that can render arithmetic means irrelevant. It is particularly useful to compare growth rates from various data sets of common domain such as revenue growth of companies in the same industry.'

• Compared with the benchmark SPY (13.3%) in the period of the last 5 years, the annual performance (CAGR) of 13.4% of ProShares Ultra Dow30 is larger, thus better.
• During the last 3 years, the annual performance (CAGR) is 26.1%, which is greater, thus better than the value of 21.7% from the benchmark.

Volatility:

'Volatility is a statistical measure of the dispersion of returns for a given security or market index. Volatility can either be measured by using the standard deviation or variance between returns from that same security or market index. Commonly, the higher the volatility, the riskier the security. In the securities markets, volatility is often associated with big swings in either direction. For example, when the stock market rises and falls more than one percent over a sustained period of time, it is called a 'volatile' market.'

• Looking at the historical 30 days volatility of 29.6% in the last 5 years of ProShares Ultra Dow30, we see it is relatively higher, thus worse in comparison to the benchmark SPY (17.2%)
• Compared with SPY (15.4%) in the period of the last 3 years, the 30 days standard deviation of 27.3% is higher, thus worse.

DownVol:

'Downside risk is the financial risk associated with losses. That is, it is the risk of the actual return being below the expected return, or the uncertainty about the magnitude of that difference. Risk measures typically quantify the downside risk, whereas the standard deviation (an example of a deviation risk measure) measures both the upside and downside risk. Specifically, downside risk in our definition is the semi-deviation, that is the standard deviation of all negative returns.'

• Compared with the benchmark SPY (11.8%) in the period of the last 5 years, the downside deviation of 20.5% of ProShares Ultra Dow30 is greater, thus worse.
• Compared with SPY (10.3%) in the period of the last 3 years, the downside volatility of 18.3% is greater, thus worse.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• The Sharpe Ratio over 5 years of ProShares Ultra Dow30 is 0.37, which is lower, thus worse compared to the benchmark SPY (0.63) in the same period.
• Compared with SPY (1.25) in the period of the last 3 years, the Sharpe Ratio of 0.87 is lower, thus worse.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• The ratio of annual return and downside deviation over 5 years of ProShares Ultra Dow30 is 0.53, which is smaller, thus worse compared to the benchmark SPY (0.91) in the same period.
• Looking at downside risk / excess return profile in of 1.29 in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (1.86).

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Compared with the benchmark SPY (8.45 ) in the period of the last 5 years, the Ulcer Index of 14 of ProShares Ultra Dow30 is greater, thus worse.
• Compared with SPY (3.37 ) in the period of the last 3 years, the Ulcer Index of 7.85 is larger, thus worse.

MaxDD:

'Maximum drawdown is defined as the peak-to-trough decline of an investment during a specific period. It is usually quoted as a percentage of the peak value. The maximum drawdown can be calculated based on absolute returns, in order to identify strategies that suffer less during market downturns, such as low-volatility strategies. However, the maximum drawdown can also be calculated based on returns relative to a benchmark index, for identifying strategies that show steady outperformance over time.'

• Compared with the benchmark SPY (-24.5 days) in the period of the last 5 years, the maximum drop from peak to valley of -40.2 days of ProShares Ultra Dow30 is smaller, thus worse.
• Looking at maximum DrawDown in of -31.6 days in the period of the last 3 years, we see it is relatively smaller, thus worse in comparison to SPY (-18.8 days).

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

• Looking at the maximum days below previous high of 517 days in the last 5 years of ProShares Ultra Dow30, we see it is relatively higher, thus worse in comparison to the benchmark SPY (488 days)
• Compared with SPY (87 days) in the period of the last 3 years, the maximum days under water of 195 days is larger, thus worse.

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• The average days below previous high over 5 years of ProShares Ultra Dow30 is 137 days, which is greater, thus worse compared to the benchmark SPY (119 days) in the same period.
• Compared with SPY (18 days) in the period of the last 3 years, the average days below previous high of 42 days is higher, thus worse.